Quiz about Solving Systems Test

Question 1

Solve the system

2x + 3y = 6

x + 2y = 5

Accepted Answer

( -3 , 4 )

Answer

( 4 , -3 )

Answer

( 3 , 4 )

Answer

( 4 , 3 )

Question 2

Solve the system

-4x - 2y = -12

4x + 8y = -24

Accepted Answer

( 6 , -6 )

Answer

6

Answer

( -6 , 6 )

Answer

( 3 , -3 )

Question 3

8x + 5y = 38

-8x + 2y = 4

Accepted Answer

(1, 6)

Answer

(-1,6)

Answer

(11, -10)

Answer

Infinite Solutions

Answer

No Solutions

Question 4

Give the solution to the system

Accepted Answer

(1,3)

Answer

(3,1)

Answer

(-1,3)

Answer

No solution

Question 5

Question 5.

Accepted Answer

(10, -1)

Answer

(-1, 10)

Answer

(-10, 1)

Answer

(10, 1)

Question 6

True or False - Solving a system of equations can be done by Graphing, Substitution, or Elimination

Accepted Answer

True

Answer

False

Question 7

True or False - If 2 lines have different slopes, then those lines are parallel

Accepted Answer

False

Answer

True

Question 8

How many solutions will this system have?

Accepted Answer

No solution

Answer

One Solution

Answer

I Don't Know

Answer

Infinitely Many Solutions

Question 9

3. What step needs to be taken to perform elimination?
2x+2y=20
-x+6y=10

Accepted Answer

Multiply the bottom by 2

Answer

Combine them

Answer

Set them equal

Answer

Find the blob

Question 10

Nancy went to the grocery story.  On Monday she purchased 4 apples and 6 bananas for a total of $13.  On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50.  Which system of equations represents the situation?

Accepted Answer

4x + 6y = 13
3x + 7y = 13.5

Answer

4x + 6y = 3
13.5x - 13y = 6

Answer

x + y = 4
x - y = 6

Answer

4x - 6y = 13
3x - 7y = 13.5

Question 11

What would be the first step in finding the solution using elimination?

2x + 2y = -2

3x - 2y = 12

Accepted Answer

cross out the 2y and -2y

Answer

you cannot solve this using eliminiation

Answer

cross out the 2x and 3x

Answer

change to slope intercept form and graph

Question 12

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

Accepted Answer

3s + 1c = 38
3s + 2c = 52

Answer

1s + 3c = 38
2s + 3c = 52

Answer

s + c = 38
s + c = 52

Answer

3s + 3c = 38
1s + 2c = 52

Question 13

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

Accepted Answer

t + n = 54
t = 3n + 8

Answer

t + n = 54
n = 3t + 8

Answer

t + n = 54
t = 3n - 8

Answer

t + n = 8
t = 3n + 54

Question 14

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

Accepted Answer

y = 9.65x + 43
y = 8.40x + 58

Answer

y = 9.65 + x
y = 8.40 + x

Answer

y =9.65x
y = 8.40x

Answer

y = 9.65x - 43
y = 8.40x - 58

Question 15

The senior class at Rivermont High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Washington High School rented and filled 12 vans and 14 buses with 770 students. How many students were on each van and each bus?

Accepted Answer

Van 14
Bus 43

Answer

Van 43
Bus 14

Answer

Van 11
Bus 21

Answer

Van 17
Bus 45

Question 16

Lilly wants to get some granola bars. At Kroger you can get 6 strawberry and 4 cherry together for $6.90. At Sam's Club you can get 5 strawberry and 9 cherry for $9.15. How much is the cost of one cherry granola bar?

Accepted Answer

.60

Answer

.20

Answer

1.50

Answer

1.25

Solving Systems Test

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics